In 1996, a trinucleotide circular code which is maximum, self-complementary, and
We continue our study of properties of trinucleotide circular codes [
Before the discovery of the genetic code, Crick et al. [
The classical notions of language theory and codes can be found in [
A subset
Any nonempty subset of
A trinucleotide code
A trinucleotide circular code is noted
Let
We say that the ordered sequence
Only a few trinucleotide codes are circular. Two propositions based on the necklace concept allow to determine if a trinucleotide code is circular or not [
Let
We say that the ordered sequence
Let
A trinucleotide circular code
A trinucleotide circular code containing exactly
A
A maximum trinucleotide circular code is noted
A
We recall two classical genetic maps: complementary and circular permutation.
The complementary genetic map
The complementary map
The circular permutation genetic map
The circular permutation map
The
The trinucleotide codes
A trinucleotide circular code
A self-complementary trinucleotide circular code is noted
A
A trinucleotide circular code
A
A trinucleotide circular code
A
The set
We recall three classical evolution genetic maps: transition and transversions I and II, for example, [
The transition evolution genetic map
The transition map
The transition maps
The transversion I evolution genetic map
The transversion I map
The transversion I maps
The transversion II evolution genetic map
The transversion II map
The transversion II maps
The evolution genetic maps in
An evolution genetic map, that is,
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Based on Proposition
For
Transition map
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For
Transition map
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The transition
Transition map
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For
Transversion I map
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For
Transversion I map
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The transversion I
Transversion I map
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For
Transversion II map
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For
Transversion II map
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For
The common trinucleotide circular code
Let a partition
Partition of |
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Very surprisingly, for the three maps of transition, transversions I and II,
A comprehensive computer analysis of transition and transversions I and II in the